{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/home/ogrisel/.virtualenvs/py36/lib/python3.6/site-packages/h5py/__init__.py:36: FutureWarning: Conversion of the second argument of issubdtype from `float` to `np.floating` is deprecated. In future, it will be treated as `np.float64 == np.dtype(float).type`.\n",
      "  from ._conv import register_converters as _register_converters\n"
     ]
    }
   ],
   "source": [
    "from nilearn import datasets, plotting, image\n",
    "%matplotlib inline\n",
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "import os\n",
    "\n",
    "os.environ['CUDA_VISIBLE_DEVICES'] = \"1\""
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "First subject functional nifti images (4D) are at: /home/ogrisel/nilearn_data/haxby2001/subj2/bold.nii.gz\n"
     ]
    }
   ],
   "source": [
    "# By default 2nd subject will be fetched\n",
    "data = datasets.fetch_haxby(subjects=(2,))\n",
    "# 'func' is a list of filenames: one for each subject\n",
    "fmri_filename = data.func[0]\n",
    "\n",
    "# print basic information on the dataset\n",
    "print('First subject functional nifti images (4D) are at: %s' %\n",
    "      fmri_filename)  # 4D data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/home/ogrisel/.virtualenvs/py36/lib/python3.6/site-packages/nilearn/image/image.py:192: UserWarning: The parameter 'fwhm' for smoothing is specified as 0. Converting to None (no smoothing option)\n",
      "  .format(fwhm))\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f940ac235c0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f940445c5f8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f93be28be48>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "first_epi_file = data.func[0]\n",
    "\n",
    "# First the compute the mean image, from the 4D series of image\n",
    "mean_func = image.mean_img(first_epi_file)\n",
    "\n",
    "# Then we smooth, with a varying amount of smoothing, from none to 20mm\n",
    "# by increments of 5mm\n",
    "for smoothing in [0, 2, 5] :\n",
    "    smoothed_img = image.smooth_img(mean_func, smoothing)\n",
    "    plotting.plot_epi(smoothed_img, title=\"Smoothing %imm\" % smoothing)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "smoothed_img = image.smooth_img(fmri_filename, 2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(40, 64, 64, 1452)"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "smoothed_img.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(40, 64, 64, 1452)"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "smoothed_img.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {},
   "outputs": [],
   "source": [
    "smoothed_data = smoothed_img.get_data().transpose(3, 0, 1, 2)\n",
    "# mean = smoothed_data.mean(axis=0)\n",
    "# smoothed_data -= mean\n",
    "# scale = smoothed_data.std(axis=0) + 1e-6\n",
    "# smoothed_data /= scale\n",
    "scale = smoothed_data.std()  # global scale\n",
    "smoothed_data /= scale"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(1452, 40, 64, 64, 1)"
      ]
     },
     "execution_count": 38,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "smoothed_data = smoothed_data[:, :, :, :, None]\n",
    "smoothed_data.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "metadata": {},
   "outputs": [],
   "source": [
    "smoothed_data_train = smoothed_data[:1200]\n",
    "smoothed_data_test = smoothed_data[1200:]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "786.432"
      ]
     },
     "execution_count": 40,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "smoothed_data_train.nbytes / 1e6"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "metadata": {},
   "outputs": [],
   "source": [
    "input_shape = smoothed_data_train.shape[1:]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 129,
   "metadata": {},
   "outputs": [],
   "source": [
    "from keras.models import load_model\n",
    "\n",
    "\n",
    "autoencoder = load_model('haxby_autoencoder_best.hdf5')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 130,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "_________________________________________________________________\n",
      "Layer (type)                 Output Shape              Param #   \n",
      "=================================================================\n",
      "sequential_20 (Sequential)   (None, 256)               2283200   \n",
      "_________________________________________________________________\n",
      "sequential_21 (Sequential)   (None, 40, 64, 64, 1)     2029201   \n",
      "=================================================================\n",
      "Total params: 4,312,401\n",
      "Trainable params: 4,310,257\n",
      "Non-trainable params: 2,144\n",
      "_________________________________________________________________\n",
      "None\n"
     ]
    }
   ],
   "source": [
    "print(autoencoder.summary())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 131,
   "metadata": {},
   "outputs": [],
   "source": [
    "encoder = autoencoder.layers[0]\n",
    "decoder = autoencoder.layers[1]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 132,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "_________________________________________________________________\n",
      "Layer (type)                 Output Shape              Param #   \n",
      "=================================================================\n",
      "conv3d_1 (Conv3D)            (None, 40, 64, 64, 16)    448       \n",
      "_________________________________________________________________\n",
      "batch_normalization_1 (Batch (None, 40, 64, 64, 16)    64        \n",
      "_________________________________________________________________\n",
      "conv3d_2 (Conv3D)            (None, 20, 32, 32, 32)    13856     \n",
      "_________________________________________________________________\n",
      "batch_normalization_2 (Batch (None, 20, 32, 32, 32)    128       \n",
      "_________________________________________________________________\n",
      "conv3d_3 (Conv3D)            (None, 20, 32, 32, 32)    27680     \n",
      "_________________________________________________________________\n",
      "batch_normalization_3 (Batch (None, 20, 32, 32, 32)    128       \n",
      "_________________________________________________________________\n",
      "conv3d_4 (Conv3D)            (None, 10, 16, 16, 64)    55360     \n",
      "_________________________________________________________________\n",
      "batch_normalization_4 (Batch (None, 10, 16, 16, 64)    256       \n",
      "_________________________________________________________________\n",
      "conv3d_5 (Conv3D)            (None, 10, 16, 16, 64)    110656    \n",
      "_________________________________________________________________\n",
      "batch_normalization_5 (Batch (None, 10, 16, 16, 64)    256       \n",
      "_________________________________________________________________\n",
      "conv3d_6 (Conv3D)            (None, 5, 8, 8, 128)      221312    \n",
      "_________________________________________________________________\n",
      "batch_normalization_6 (Batch (None, 5, 8, 8, 128)      512       \n",
      "_________________________________________________________________\n",
      "conv3d_7 (Conv3D)            (None, 3, 4, 4, 128)      442496    \n",
      "_________________________________________________________________\n",
      "batch_normalization_7 (Batch (None, 3, 4, 4, 128)      512       \n",
      "_________________________________________________________________\n",
      "conv3d_8 (Conv3D)            (None, 2, 2, 2, 256)      884992    \n",
      "_________________________________________________________________\n",
      "flatten_1 (Flatten)          (None, 2048)              0         \n",
      "_________________________________________________________________\n",
      "dropout_1 (Dropout)          (None, 2048)              0         \n",
      "_________________________________________________________________\n",
      "dense_1 (Dense)              (None, 256)               524544    \n",
      "=================================================================\n",
      "Total params: 2,283,200\n",
      "Trainable params: 2,282,272\n",
      "Non-trainable params: 928\n",
      "_________________________________________________________________\n",
      "None\n"
     ]
    }
   ],
   "source": [
    "print(encoder.summary())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 133,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "CPU times: user 3.71 s, sys: 80 ms, total: 3.79 s\n",
      "Wall time: 6.96 s\n"
     ]
    }
   ],
   "source": [
    "%%time\n",
    "encoded_train = encoder.predict(smoothed_data_train,\n",
    "                                batch_size=32)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 134,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(1200, 256)"
      ]
     },
     "execution_count": 134,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "encoded_train.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 135,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "1.2288"
      ]
     },
     "execution_count": 135,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "encoded_train.nbytes / 1e6"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 136,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "_________________________________________________________________\n",
      "Layer (type)                 Output Shape              Param #   \n",
      "=================================================================\n",
      "dense_2 (Dense)              (None, 1024)              263168    \n",
      "_________________________________________________________________\n",
      "dropout_2 (Dropout)          (None, 1024)              0         \n",
      "_________________________________________________________________\n",
      "reshape_1 (Reshape)          (None, 2, 2, 2, 128)      0         \n",
      "_________________________________________________________________\n",
      "conv3d_transpose_1 (Conv3DTr (None, 4, 4, 4, 128)      442496    \n",
      "_________________________________________________________________\n",
      "batch_normalization_8 (Batch (None, 4, 4, 4, 128)      512       \n",
      "_________________________________________________________________\n",
      "conv3d_9 (Conv3D)            (None, 4, 4, 4, 128)      442496    \n",
      "_________________________________________________________________\n",
      "batch_normalization_9 (Batch (None, 4, 4, 4, 128)      512       \n",
      "_________________________________________________________________\n",
      "conv3d_transpose_2 (Conv3DTr (None, 8, 8, 8, 128)      442496    \n",
      "_________________________________________________________________\n",
      "lambda_1 (Lambda)            (None, 5, 8, 8, 128)      0         \n",
      "_________________________________________________________________\n",
      "batch_normalization_10 (Batc (None, 5, 8, 8, 128)      512       \n",
      "_________________________________________________________________\n",
      "conv3d_10 (Conv3D)           (None, 5, 8, 8, 64)       221248    \n",
      "_________________________________________________________________\n",
      "batch_normalization_11 (Batc (None, 5, 8, 8, 64)       256       \n",
      "_________________________________________________________________\n",
      "conv3d_transpose_3 (Conv3DTr (None, 10, 16, 16, 64)    110656    \n",
      "_________________________________________________________________\n",
      "batch_normalization_12 (Batc (None, 10, 16, 16, 64)    256       \n",
      "_________________________________________________________________\n",
      "conv3d_11 (Conv3D)           (None, 10, 16, 16, 32)    55328     \n",
      "_________________________________________________________________\n",
      "batch_normalization_13 (Batc (None, 10, 16, 16, 32)    128       \n",
      "_________________________________________________________________\n",
      "conv3d_transpose_4 (Conv3DTr (None, 20, 32, 32, 32)    27680     \n",
      "_________________________________________________________________\n",
      "batch_normalization_14 (Batc (None, 20, 32, 32, 32)    128       \n",
      "_________________________________________________________________\n",
      "conv3d_12 (Conv3D)           (None, 20, 32, 32, 16)    13840     \n",
      "_________________________________________________________________\n",
      "batch_normalization_15 (Batc (None, 20, 32, 32, 16)    64        \n",
      "_________________________________________________________________\n",
      "conv3d_transpose_5 (Conv3DTr (None, 40, 64, 64, 16)    6928      \n",
      "_________________________________________________________________\n",
      "batch_normalization_16 (Batc (None, 40, 64, 64, 16)    64        \n",
      "_________________________________________________________________\n",
      "conv3d_13 (Conv3D)           (None, 40, 64, 64, 1)     433       \n",
      "=================================================================\n",
      "Total params: 2,029,201\n",
      "Trainable params: 2,027,985\n",
      "Non-trainable params: 1,216\n",
      "_________________________________________________________________\n",
      "None\n"
     ]
    }
   ],
   "source": [
    "print(decoder.summary())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 137,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "CPU times: user 9.21 s, sys: 2.17 s, total: 11.4 s\n",
      "Wall time: 15 s\n"
     ]
    }
   ],
   "source": [
    "%%time\n",
    "reconstructed_train = autoencoder.predict(smoothed_data_train)\n",
    "reconstructed_test = autoencoder.predict(smoothed_data_test)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 138,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "CPU times: user 2.17 s, sys: 100 ms, total: 2.27 s\n",
      "Wall time: 6.13 s\n"
     ]
    }
   ],
   "source": [
    "%%time\n",
    "encoded_train = encoder.predict(smoothed_data_train)\n",
    "encoded_test = encoder.predict(smoothed_data_test)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 139,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f92741d6400>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "for i in [0, 50, 100]:\n",
    "    plt.hist(encoded_train[:, i], bins=np.linspace(-10, 10, 50),\n",
    "             alpha=0.5);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 140,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(252, 40, 64, 64, 1)"
      ]
     },
     "execution_count": 140,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "reconstructed_test.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 141,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "165.15072"
      ]
     },
     "execution_count": 141,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "reconstructed_test.nbytes / 1e6 "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 157,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f9277be44e0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "bins = np.linspace(0, 0.2, 50)\n",
    "plt.hist(reconstructed_test.std(axis=0).ravel(), bins=bins, alpha=0.5);\n",
    "plt.hist(smoothed_data_test.std(axis=0).ravel(), bins=bins, alpha=0.5);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 158,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f9291d43668>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "reconstructed_test_img = Nifti1Image(\n",
    "    reconstructed_test.std(axis=0)[:, :, :, 0],\n",
    "    smoothed_img.affine)\n",
    "plotting.plot_epi(reconstructed_test_img);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 142,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f9273b09160>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f92737a1fd0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f9273cc04e0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from nibabel import Nifti1Image\n",
    "\n",
    "for img_idx in [0, 50, 100]:\n",
    "    reconstructed_test_img = Nifti1Image(\n",
    "        reconstructed_test[:, :, :, :, 0].transpose(1, 2, 3, 0)[:, :, :, img_idx],\n",
    "        smoothed_img.affine)\n",
    "    plotting.plot_epi(reconstructed_test_img);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 143,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f9273d85b38>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f9273f70a20>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f9273c7bac8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "for img_idx in [0, 50, 100]:\n",
    "    test_img = Nifti1Image(\n",
    "        smoothed_data_test[:, :, :, :, 0].transpose(1, 2, 3, 0)[:, :, :, img_idx],\n",
    "        smoothed_img.affine)\n",
    "    plotting.plot_epi(test_img);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 146,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "        labels  chunks\n",
      "0         rest       0\n",
      "1         rest       0\n",
      "2         rest       0\n",
      "3         rest       0\n",
      "4         rest       0\n",
      "5         rest       0\n",
      "6     scissors       0\n",
      "7     scissors       0\n",
      "8     scissors       0\n",
      "9     scissors       0\n",
      "10    scissors       0\n",
      "11    scissors       0\n",
      "12    scissors       0\n",
      "13    scissors       0\n",
      "14    scissors       0\n",
      "15        rest       0\n",
      "16        rest       0\n",
      "17        rest       0\n",
      "18        rest       0\n",
      "19        rest       0\n",
      "20        rest       0\n",
      "21        face       0\n",
      "22        face       0\n",
      "23        face       0\n",
      "24        face       0\n",
      "25        face       0\n",
      "26        face       0\n",
      "27        face       0\n",
      "28        face       0\n",
      "29        face       0\n",
      "...        ...     ...\n",
      "1422      rest      11\n",
      "1423       cat      11\n",
      "1424       cat      11\n",
      "1425       cat      11\n",
      "1426       cat      11\n",
      "1427       cat      11\n",
      "1428       cat      11\n",
      "1429       cat      11\n",
      "1430       cat      11\n",
      "1431       cat      11\n",
      "1432      rest      11\n",
      "1433      rest      11\n",
      "1434      rest      11\n",
      "1435      rest      11\n",
      "1436      rest      11\n",
      "1437  scissors      11\n",
      "1438  scissors      11\n",
      "1439  scissors      11\n",
      "1440  scissors      11\n",
      "1441  scissors      11\n",
      "1442  scissors      11\n",
      "1443  scissors      11\n",
      "1444  scissors      11\n",
      "1445  scissors      11\n",
      "1446      rest      11\n",
      "1447      rest      11\n",
      "1448      rest      11\n",
      "1449      rest      11\n",
      "1450      rest      11\n",
      "1451      rest      11\n",
      "\n",
      "[1452 rows x 2 columns]\n"
     ]
    }
   ],
   "source": [
    "import pandas as pd\n",
    "\n",
    "# Load behavioral information\n",
    "behavioral = pd.read_csv(data.session_target[0], sep=\" \")\n",
    "print(behavioral)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 148,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0       False\n",
       "1       False\n",
       "2       False\n",
       "3       False\n",
       "4       False\n",
       "5       False\n",
       "6       False\n",
       "7       False\n",
       "8       False\n",
       "9       False\n",
       "10      False\n",
       "11      False\n",
       "12      False\n",
       "13      False\n",
       "14      False\n",
       "15      False\n",
       "16      False\n",
       "17      False\n",
       "18      False\n",
       "19      False\n",
       "20      False\n",
       "21       True\n",
       "22       True\n",
       "23       True\n",
       "24       True\n",
       "25       True\n",
       "26       True\n",
       "27       True\n",
       "28       True\n",
       "29       True\n",
       "        ...  \n",
       "1422    False\n",
       "1423     True\n",
       "1424     True\n",
       "1425     True\n",
       "1426     True\n",
       "1427     True\n",
       "1428     True\n",
       "1429     True\n",
       "1430     True\n",
       "1431     True\n",
       "1432    False\n",
       "1433    False\n",
       "1434    False\n",
       "1435    False\n",
       "1436    False\n",
       "1437    False\n",
       "1438    False\n",
       "1439    False\n",
       "1440    False\n",
       "1441    False\n",
       "1442    False\n",
       "1443    False\n",
       "1444    False\n",
       "1445    False\n",
       "1446    False\n",
       "1447    False\n",
       "1448    False\n",
       "1449    False\n",
       "1450    False\n",
       "1451    False\n",
       "Name: labels, Length: 1452, dtype: bool"
      ]
     },
     "execution_count": 148,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "condition_mask = behavioral['labels'].isin(['face', 'cat'])\n",
    "condition_mask"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
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